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Beliebt Rechnen >

(dy)/(dt)+3y=cos(2t),y(0)=-1

Lösung

\frac{d y}{d t} + 3 y = cos (2 t), y (0) = - 1

Lösung

y = \frac{2 sin ( 2 t )}{13} + \frac{3 cos ( 2 t )}{13} - \frac{16}{13 e ^{3 t}}

Schritte zur Lösung

\frac{d y}{d t} + 3 y = cos (2 t)

Solve linear ODE:

y = \frac{2 sin ( 2 t )}{13} + \frac{3 cos ( 2 t )}{13} - \frac{16}{13 e ^{3 t}}

y = \frac{2 sin ( 2 t )}{13} + \frac{3 cos ( 2 t )}{13} - \frac{16}{13 e ^{3 t}}

Graph

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